Inertia groups and abelian surfaces

A. Silverberg, Yuriy G. Zarkhin

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper classifies the finite groups that occur as inertia groups associated to abelian surfaces. These groups can be viewed as Galois groups for the smallest totally ramified extension over which an abelian surface over a local field acquires semistable reduction. The results extend earlier elliptic curves results of Serre and Kraus.

Original languageEnglish (US)
Pages (from-to)178-198
Number of pages21
JournalJournal of Number Theory
Volume110
Issue number1
DOIs
StatePublished - Jan 1 2005

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Abelian Surfaces
Inertia
Galois group
Local Field
Elliptic Curves
Finite Group
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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Silverberg, A. ; Zarkhin, Yuriy G. / Inertia groups and abelian surfaces. In: Journal of Number Theory. 2005 ; Vol. 110, No. 1. pp. 178-198.
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Inertia groups and abelian surfaces. / Silverberg, A.; Zarkhin, Yuriy G.

In: Journal of Number Theory, Vol. 110, No. 1, 01.01.2005, p. 178-198.

Research output: Contribution to journalArticle

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